MATH415-24S2 (C) Semester Two 2024

Numerical Analysis

15 points

Details:
Start Date: Monday, 15 July 2024
End Date: Sunday, 10 November 2024
Withdrawal Dates
Last Day to withdraw from this course:
  • Without financial penalty (full fee refund): Sunday, 28 July 2024
  • Without academic penalty (including no fee refund): Sunday, 29 September 2024

Description

Numerical Analysis

Numerical Analysis is the area of mathematics that constructs and analyses algorithms in order to approximate solutions to mathematical problems.  This is a broad mathematical field that includes (among others):
• Approximation theory.
• Optimization.
• Numerical approximation of Differential Equations.
In this course, we will study the numerical approximation of solutions to Partial Differential Equations.

The course has a good combination of analytical techniques and practical work. Implementation of the numerical methods will be done in the weekly labs and two large assignments.

No previous knowledge of PDE's is necessary but is highly recommended. The course is self-contained and it can be taken as a first course in Numerical Analysis.

Learning Outcomes

  • Investigate the mathematical properties of the algorithms (numerical methods), such as:
    o Stability
    o Consistency
    o Convergence
  • Learn how to validate your algorithms and results through the computational implementation of test problems.
  • Use numerical methods to solve real-world problems.
  • Enhance mathematical communication skills through weekly written reports and assignments.

Prerequisites

Subject to approval of the Head of School.

Timetable 2024

Students must attend one activity from each section.

Lecture A
Activity Day Time Location Weeks
01 Wednesday 16:00 - 17:00 Jack Erskine 244
15 Jul - 25 Aug
9 Sep - 20 Oct
Lecture B
Activity Day Time Location Weeks
01 Friday 12:00 - 13:00 Jack Erskine 315
15 Jul - 25 Aug
9 Sep - 20 Oct
Computer Lab A
Activity Day Time Location Weeks
01 Friday 13:00 - 14:00 Jack Erskine 436 Computer Lab
15 Jul - 25 Aug
9 Sep - 20 Oct

Course Coordinator

Chris Stevens

Indicative Fees

Domestic fee $1,074.00

* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.

For further information see Mathematics and Statistics .

All MATH415 Occurrences

  • MATH415-24S2 (C) Semester Two 2024